To calculate the power of the gun, we need to use the formula for power which is given by:
P=‌where
P is the power,
W is the work done, and
t is time.
First, we will calculate the work done to fire one bullet. The kinetic energy of a bullet can be calculated using the formula:
KE=‌mv2 Mass of each bullet,
m=100g=0.1‌kgVelocity of each bullet,
v=120ms−1Substituting these values into the kinetic energy formula gives:
‌KE=‌×0.1×(120)2‌KE=0.05×14400‌KE=720J This is the work done to fire one bullet. Since the gun fires 120 bullets per minute:
W=120×720J per minute
W=86400J per minute
To find the power, we need to convert this work into watts (joules per second). Since there are 60 seconds in a minute, we have:
‌P=‌‌P=1440W=1.44‌kWTherefore, the power of the gun is 1.44 kW .
The correct answer is:
Option C: 1.44 kW